Convert Infix to Postfix 54 453 453 45632 Postfix changes to

Convert Infix to Postfix 5*4 4+5/3 (4+5)/3 4+(5*6-3)/2 Postfix changes to Infix 1 2 + 3* 1 2 3* + 1 2 3 + 4*- 1 2 3 4*+/5-

Solution

solution:

1) Expression: 5*4

The postfix expression of 5*4 is: 54*.

2)

Expression: 4+5/3

The postfix expression of 4+5/3 is:

  4+5/3=4+(53/)

=453/+

3)

Expression: (4+5)/3

The postfix expression of (4+5)/3 is:

(4+5)/3=(45+)/3)

=45+3/

4)

Expression: 4+(5*6-3)/2

The postfix expression of (4+(5*6-3)/2 is:

4+(5*6-3)/2=4+((56*)-3)/2

=4+(56*3-)/2

=4+(56*3-2/)

=456*3-2/+

5)

Expression: 12+3*

The infix expression of 12+3* is:

  12+3*=(1+2)3*

=(1+2)*3

6)

Expression: 123*+

The infix expression of 123*+ is:

123*+=1(2*3)+

=1+2*3

7)

Expression: 123+4*-

The infix expression of 123+4*- is:

  123+4*-=1(2+3)4*-

=1((2+3)*4)-

=1-(2+3)*4

8)

Expression: 1234*+/5-

The infix expression of 1234*+/5- is:

  1234*+/5-=12(3*4)+/5-

=1(2+3*4)/5-

=(1/(2+3*4))5-

=1/(2+3*4)-5